Biblioteca de la Universidad Complutense de Madrid

Uniformly continuous maps between ends of R-trees

Impacto

Martinez Pérez, Álvaro y Morón, Manuel A. (2009) Uniformly continuous maps between ends of R-trees. Mathematische Zeitschrift, 263 (3). pp. 583-606. ISSN 0025-5874

[img] PDF
Restringido a Sólo personal autorizado del repositorio hasta 31 Diciembre 2020.

580kB

URL Oficial: http://www.springerlink.com/content/3711900186614502/fulltext.pdf




Resumen

There is a well-known correspondence between infinite trees and ultrametric spaces which can be interpreted as an equivalence of categories and comes from considering the end space of the tree. In this equivalence, uniformly continuous maps between the end spaces are translated to some classes of coarse maps (or even classes of metrically proper Lipschitz maps) between the trees.


Tipo de documento:Artículo
Palabras clave:Tree; ultrametric; end space; coarse map; uniformly continuous; non-expansive map
Materias:Ciencias > Matemáticas > Topología
Código ID:15114
Referencias:

Baues, H.J., Quintero, A.: Infinite Homotopy Theory. K-Monographs in Mathematics, no. 6. Kluwer,Boston (2001)

Bestvina, M.: R-trees in Topology, Geometry and Group Theory. Handbook of geometric topology, pp.55–91. North-Holland, Amsterdam (2002)

Borsuk, K.: On some metrization of the hyperspace of compact sets. Fund. Math. 41, 168–202 (1954)

Hughes, B.: Trees and ultrametric spaces: a categorical equivalence. Adv. Math. 189, 148–191 (2004)

Hughes, B., Ranicki: Ends of Complexes. Cambridge Tracts in Mathematics, vol. 123. Cambridge University Press, Cambridge (1996)

Mac Lane, S.: Categories for the Working Mathematician. Springer, New York (1971)

Morgan, J.W.: -trees and their applications. Bull. Am. Math. Soc. 26(1), 87–112 (1992)

Morón, M.A., Ruiz del Portal, F.R.: Shape as a Cantor completion process. Mathematische Zeitschrift 225, 67–86 (1997)

Robert, A.M.: A Course in p-adic Analysis. Grad. Text Math., vol. 198. Springer, New York (2000)

Roe, J.: Lectures onCoarseGeometry. University Lecture Series, vol. 31. American Mathematical Society,Providence (2003)

Roe, J.: Coarse Cohomology and Index Theory on Complete Riemannian Manifolds. Memoirs of the American Mathematical Society, vol. 104, no. 497 (1993)

Serre, J.P.: Trees. Springer, New York (1980)

Depositado:07 May 2012 08:48
Última Modificación:06 Feb 2014 10:16

Sólo personal del repositorio: página de control del artículo